1. Name__________________________________________________
Algebra: Factoring
Find the product of (x+5) and (x+1).
______________________________ simplify _____________________________
Now, how do we go from ___________________ back to (x+5)(x+1) ?
Look at (x + 5) (x + 1), see if you can come up with a hypothesis as to where 5 and 1 fit into the expression
above.
𝑦= 𝑥 x + 5
____ = ( ) ( )
Let’s find the roots of the parabola. Graph 𝑦= 𝑥 x + 5 and state the roots.
Now we will find the roots algebraically.
We learned above that 𝑥 x + 5 factors to (x+1) and (x+5).
What does y equal at the roots? ______
T IT UP!!!
(x+1)
(x+5)

2. Challenge Practice – Find the roots of the following Steps
Find the numbers that multiply to the number without the x
Pick the two numbers that add to the number with the x
T it up
Solve to find your roots
Example 1
0 = 𝑥 2 +6x+8
Challenge
𝑥 2 +2x+1
2. 𝑥 2 +6x+9
3. 𝑥 2 +9x+18
4. 𝑥 2 +9x+8
5. 𝑥 2 +9x+14
6. 𝑥 2 +7x+12
7. 𝑥 2 +8x+12
8. 𝑥 2 +8x+15
9. 𝑥 2 +17x +70
10. 𝑥 2 +26x+120
11. 𝑥 2 +17x+66
12. 𝑥 2 +15x+36